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1904 = 24717
BaseRepresentation
bin11101110000
32121112
4131300
530104
612452
75360
oct3560
92545
101904
111481
121128
13b36
149a0
1586e
hex770

1904 has 20 divisors (see below), whose sum is σ = 4464. Its totient is φ = 768.

The previous prime is 1901. The next prime is 1907. The reversal of 1904 is 4091.

1904 divided by its sum of digits (14) gives a triangular number (136 = T16).

Adding to 1904 its reverse (4091), we get a palindrome (5995).

Subtracting 1904 from its reverse (4091), we obtain a 7-th power (2187 = 37).

1904 = T9 + T10 + ... + T22.

It is an interprime number because it is at equal distance from previous prime (1901) and next prime (1907).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104 + ... + 120.

1904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232).

1904 is an abundant number, since it is smaller than the sum of its proper divisors (2560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1904 is a wasteful number, since it uses less digits than its factorization.

1904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1904 is about 43.6348484585. The cubic root of 1904 is about 12.3943088695.

The spelling of 1904 in words is "one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904